TSTP Solution File: LAT339+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT339+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 04:29:55 EDT 2022

% Result   : Theorem 16.56s 3.39s
% Output   : CNFRefutation 16.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   34
% Syntax   : Number of clauses     :   92 (  17 unt;  51 nHn;  84 RR)
%            Number of literals    :  308 (  33 equ; 165 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   3 con; 0-3 aty)
%            Number of variables   :  122 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_54,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v6_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_54) ).

cnf(i_0_36,plain,
    ( k1_conlat_2(X1,X2) = X2
    | v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v6_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_36) ).

cnf(i_0_280,plain,
    ( v3_conlat_1(X1)
    | r3_lattices(k11_conlat_1(X1),X2,X3)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
    | ~ r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_280) ).

cnf(i_0_38,plain,
    ( k12_conlat_1(X1,X2) = X2
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_38) ).

cnf(i_0_67,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k5_conlat_1(X1),X1)
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_67) ).

cnf(i_0_65,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k5_conlat_1(X1),X1)
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_65) ).

cnf(i_0_69,plain,
    ( v3_conlat_1(X1)
    | v6_conlat_1(k5_conlat_1(X1),X1)
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_69) ).

cnf(i_0_68,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k5_conlat_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_68) ).

cnf(i_0_289,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_289) ).

cnf(i_0_128,plain,
    ( v1_xboole_0(k1_pre_topc(X1))
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_128) ).

cnf(i_0_272,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | r2_conlat_1(X1,X2,k5_conlat_1(X1))
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_272) ).

cnf(i_0_48,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_48) ).

cnf(i_0_49,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_49) ).

cnf(i_0_50,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_50) ).

cnf(i_0_273,plain,
    ( X1 = k16_lattice3(X2,X3)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v4_lattice3(X2)
    | ~ r3_lattice3(X2,X1,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ r3_lattices(X2,esk36_3(X2,X1,X3),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_273) ).

cnf(i_0_275,plain,
    ( X1 = k16_lattice3(X2,X3)
    | v3_struct_0(X2)
    | m1_subset_1(esk36_3(X2,X1,X3),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v4_lattice3(X2)
    | ~ r3_lattice3(X2,X1,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_275) ).

cnf(i_0_45,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_45) ).

cnf(i_0_114,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_114) ).

cnf(i_0_110,plain,
    ( v3_conlat_1(X1)
    | v4_lattice3(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_110) ).

cnf(i_0_47,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_47) ).

cnf(i_0_290,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_290) ).

cnf(i_0_33,plain,
    ( v3_struct_0(X1)
    | r3_lattice3(X1,X2,X3)
    | r2_hidden(esk2_3(X1,X2,X3),X3)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_33) ).

cnf(i_0_81,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_81) ).

cnf(i_0_233,plain,
    v1_xboole_0(esk26_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_233) ).

cnf(i_0_83,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_83) ).

cnf(i_0_266,plain,
    ( k5_lattices(k11_conlat_1(X1)) = k6_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_266) ).

cnf(i_0_283,plain,
    ( k15_lattice3(X1,k1_xboole_0) = k5_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v4_lattice3(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_283) ).

cnf(i_0_1,negated_conjecture,
    ( k3_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k6_conlat_1(esk1_0)
    | k2_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_1) ).

cnf(i_0_39,plain,
    ( k16_lattice3(k11_conlat_1(X1),X2) = k2_conlat_2(X1,X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_39) ).

cnf(i_0_234,plain,
    m1_subset_1(esk26_1(X1),k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_234) ).

cnf(i_0_258,plain,
    l3_lattices(esk34_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_258) ).

cnf(i_0_40,plain,
    ( k15_lattice3(k11_conlat_1(X1),X2) = k3_conlat_2(X1,X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_40) ).

cnf(i_0_2,negated_conjecture,
    l2_conlat_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u77ic_3x/input.p',i_0_3) ).

cnf(c_0_325,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v6_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1) ),
    i_0_54 ).

cnf(c_0_326,plain,
    ( k1_conlat_2(X1,X2) = X2
    | v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v6_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1) ),
    i_0_36 ).

cnf(c_0_327,plain,
    ( v3_conlat_1(X1)
    | r3_lattices(k11_conlat_1(X1),X2,X3)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
    | ~ r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ),
    i_0_280 ).

cnf(c_0_328,plain,
    ( k12_conlat_1(X1,X2) = X2
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_38 ).

cnf(c_0_329,plain,
    ( v7_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
    | ~ v9_conlat_1(X1,X2)
    | ~ v6_conlat_1(X1,X2)
    | ~ l3_conlat_1(X1,X2)
    | ~ l2_conlat_1(X2) ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_330,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k5_conlat_1(X1),X1)
    | ~ l2_conlat_1(X1) ),
    i_0_67 ).

cnf(c_0_331,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k5_conlat_1(X1),X1)
    | ~ l2_conlat_1(X1) ),
    i_0_65 ).

cnf(c_0_332,plain,
    ( v3_conlat_1(X1)
    | v6_conlat_1(k5_conlat_1(X1),X1)
    | ~ l2_conlat_1(X1) ),
    i_0_69 ).

cnf(c_0_333,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k5_conlat_1(X1),X1) ),
    i_0_68 ).

cnf(c_0_334,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    i_0_289 ).

cnf(c_0_335,plain,
    ( v1_xboole_0(k1_pre_topc(X1))
    | ~ l1_struct_0(X1) ),
    i_0_128 ).

cnf(c_0_336,plain,
    ( r3_lattices(k11_conlat_1(X1),X2,X3)
    | v3_conlat_1(X1)
    | ~ r2_conlat_1(X1,k12_conlat_1(X1,X2),X3)
    | ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_337,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | r2_conlat_1(X1,X2,k5_conlat_1(X1))
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1) ),
    i_0_272 ).

cnf(c_0_338,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_48 ).

cnf(c_0_339,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_49 ).

cnf(c_0_340,plain,
    ( v3_conlat_1(X1)
    | m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_331]),c_0_332]),c_0_333]) ).

cnf(c_0_341,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_50 ).

cnf(c_0_342,plain,
    ( k1_pre_topc(X1) = k1_xboole_0
    | ~ l1_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_334,c_0_335]) ).

cnf(c_0_343,plain,
    ( X1 = k16_lattice3(X2,X3)
    | v3_struct_0(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v4_lattice3(X2)
    | ~ r3_lattice3(X2,X1,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ r3_lattices(X2,esk36_3(X2,X1,X3),X1) ),
    i_0_273 ).

cnf(c_0_344,plain,
    ( r3_lattices(k11_conlat_1(X1),X2,k5_conlat_1(X1))
    | v3_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_339]),c_0_340]),c_0_341]) ).

cnf(c_0_345,plain,
    ( X1 = k16_lattice3(X2,X3)
    | v3_struct_0(X2)
    | m1_subset_1(esk36_3(X2,X1,X3),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v4_lattice3(X2)
    | ~ r3_lattice3(X2,X1,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    i_0_275 ).

cnf(c_0_346,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_45 ).

cnf(c_0_347,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_114 ).

cnf(c_0_348,plain,
    ( v3_conlat_1(X1)
    | v4_lattice3(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_110 ).

cnf(c_0_349,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    i_0_47 ).

cnf(c_0_350,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_290 ).

cnf(c_0_351,plain,
    ( v3_struct_0(X1)
    | r3_lattice3(X1,X2,X3)
    | r2_hidden(esk2_3(X1,X2,X3),X3)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_33 ).

cnf(c_0_352,plain,
    ( v1_xboole_0(k1_xboole_0)
    | ~ l1_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_335,c_0_342]) ).

cnf(c_0_353,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_81 ).

cnf(c_0_354,plain,
    ( k16_lattice3(k11_conlat_1(X1),X2) = k5_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345]),c_0_346]),c_0_347]),c_0_340]),c_0_348]),c_0_349]) ).

cnf(c_0_355,plain,
    ( r3_lattice3(X1,X2,X3)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v1_xboole_0(X3)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_356,plain,
    v1_xboole_0(esk26_1(X1)),
    i_0_233 ).

cnf(c_0_357,plain,
    ( v1_xboole_0(k1_xboole_0)
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_352,c_0_353]) ).

cnf(c_0_358,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_83 ).

cnf(c_0_359,plain,
    ( k5_lattices(k11_conlat_1(X1)) = k6_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    i_0_266 ).

cnf(c_0_360,plain,
    ( k15_lattice3(X1,k1_xboole_0) = k5_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v4_lattice3(X1) ),
    i_0_283 ).

cnf(c_0_361,negated_conjecture,
    ( k3_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k6_conlat_1(esk1_0)
    | k2_conlat_2(esk1_0,k1_pre_topc(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0) ),
    i_0_1 ).

cnf(c_0_362,plain,
    ( k16_lattice3(k11_conlat_1(X1),X2) = k2_conlat_2(X1,X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
    i_0_39 ).

cnf(c_0_363,plain,
    ( k16_lattice3(k11_conlat_1(X1),X2) = k5_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ v1_xboole_0(X2)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_346]),c_0_340]),c_0_349]) ).

cnf(c_0_364,plain,
    m1_subset_1(esk26_1(X1),k1_zfmisc_1(X1)),
    i_0_234 ).

cnf(c_0_365,plain,
    esk26_1(X1) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_334,c_0_356]) ).

cnf(c_0_366,plain,
    ( v1_xboole_0(k1_xboole_0)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_367,plain,
    l3_lattices(esk34_0),
    i_0_258 ).

cnf(c_0_368,plain,
    ( k15_lattice3(k11_conlat_1(X1),X2) = k3_conlat_2(X1,X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
    i_0_40 ).

cnf(c_0_369,plain,
    ( k15_lattice3(k11_conlat_1(X1),k1_xboole_0) = k6_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_346]),c_0_347]),c_0_348]),c_0_349]) ).

cnf(c_0_370,negated_conjecture,
    ( k3_conlat_2(esk1_0,k1_xboole_0) != k6_conlat_1(esk1_0)
    | k2_conlat_2(esk1_0,k1_xboole_0) != k5_conlat_1(esk1_0)
    | ~ l1_struct_0(k11_conlat_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_361,c_0_342]) ).

cnf(c_0_371,plain,
    ( k2_conlat_2(X1,X2) = k5_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
    | ~ v1_xboole_0(X2)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_372,plain,
    m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
    inference(rw,[status(thm)],[c_0_364,c_0_365]) ).

cnf(c_0_373,plain,
    v1_xboole_0(k1_xboole_0),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_374,negated_conjecture,
    l2_conlat_1(esk1_0),
    i_0_2 ).

cnf(c_0_375,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    i_0_3 ).

cnf(c_0_376,plain,
    ( k3_conlat_2(X1,k1_xboole_0) = k6_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_377,negated_conjecture,
    ( k3_conlat_2(esk1_0,k1_xboole_0) != k6_conlat_1(esk1_0)
    | ~ l1_struct_0(k11_conlat_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_372]),c_0_373]),c_0_374])]),c_0_375]) ).

cnf(c_0_378,plain,
    ( k3_conlat_2(X1,k1_xboole_0) = k6_conlat_1(X1)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_372])]) ).

cnf(c_0_379,plain,
    ~ l1_struct_0(k11_conlat_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_374])]),c_0_375]) ).

cnf(c_0_380,plain,
    ~ l2_lattices(k11_conlat_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_379,c_0_353]) ).

cnf(c_0_381,plain,
    ~ l3_lattices(k11_conlat_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_380,c_0_358]) ).

cnf(c_0_382,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_346]),c_0_374])]),c_0_375]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LAT339+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 30 05:40:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 16.56/3.39  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.56/3.39  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 39; version: 991; iters: 150)
% 16.56/3.39  # Preprocessing time       : 0.870 s
% 16.56/3.39  
% 16.56/3.39  # Proof found!
% 16.56/3.39  # SZS status Theorem
% 16.56/3.39  # SZS output start CNFRefutation
% See solution above
% 16.56/3.39  # Training examples: 0 positive, 0 negative
% 16.56/3.39  
% 16.56/3.39  # -------------------------------------------------
% 16.56/3.39  # User time                : 1.040 s
% 16.56/3.39  # System time              : 0.117 s
% 16.56/3.39  # Total time               : 1.157 s
% 16.56/3.39  # ...preprocessing         : 0.870 s
% 16.56/3.39  # ...main loop             : 0.286 s
% 16.56/3.39  # Maximum resident set size: 167772 pages
% 16.56/3.39  
%------------------------------------------------------------------------------